P3 Waveform-Dependent Information Transfer in a Driven Kagome XY Model

Since the observed results did not fully elucidate the relationship between information density (MI), vortex emergence rates, and energy input, I decided to directly perturb the system with controlled information inputs. This led to the P3 experiment, which investigates the lattice's fundamental response to specific signal characteristics. **P3 — Waveform-dependent information transfer under external driving** **Q: ** Does a driven lattice discriminate the temporal structure of a perturbation, independent of the energy it injects? **A: ** Yes. White noise absorbs the most energy of three canonical waveforms yet transfers statistically indistinguishable-from-zero information (net transfer entropy ≈ 0). Telegraph and sine driving absorb statistically indistinguishable energy (p=0. 15) but are cleanly separated by transfer entropy (p=0. 024): energy alone cannot explain this distinction, but transfer entropy does.